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| Henrici P. — Applied and Computational Complex Analysis (Vol. 3) |
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| Предметный указатель |
Mean value property 220 222 232 241
Measure, harmonic 248 250 251 252 255 440 441 448 453
Mehrstellenverfahren 303 305 309 317 320 321 322
Melentiev’s method 412
Mergelyan’s theorem 558 571
Milin conjecture 584 591 599 600
Minimum phase network 211
Model, of error propagation 12 14 16
Modulation, single side-band 205 207 209
Modulation, single side-band, inversion of 209
Modulus of doubly connected region 450 456 477 503
Modulus of quadrilateral 430 431 432 434 435 436 437 439 440
Modulus, logarithmic 450 456
Moebius transformation 193 230 244 249 331 365 368 369 429 430 574
Monotonicity 241 242
Multiplication of formal power series 72
Multiplication of large integers 65 71
Multiplication of polynomials 64
Neumann function 269 271 272 394 490 494 547
Neumann kernel 280 282 284
Neumann kernel, parametric 394 395 397
Neumann problem 263 264 265 266 267 268 269 270 286 490 494
Neumann problem, generalized 264
Nevanlinna representation formula 366
Newton — Cotes formula 17
Newton’s method 72 73 74 75 77 80 427 428
Newton’s method in function space 413
Norm 306 531
Norm of element in  3 81
Norm, Euclidean 10
Operator, adjoint 5
Operator, isometric 5
Operator, linear 3
Operator, unitary 44
Orthogonalization 507 535 553
Osculation algorithm 328 335 341 342 344 370 406
Osculation algorithm, speed of convergence of 338
Osculation family 329 331 333 340 343 344 457 461
Osgood — Caratheodory theorem 126 259 346 351 355 360 379
Parameter problem for Schwarz — Christoffel map 423
Parameter problem, generalized 428
Parseval’s relation 538
Period 219
Period cube 81
Period vector 80 81
Period, conjugate 219 220 453
Perturbation method, for Theodorsen’s equation 412
Phase characteristic 211
Pixel 85
Plate, clamped 313
Plemelj formula see “Sokhotskyi formula
Poincare — Bertrand formula 118
Point, active 303
Point, interior, of arc 89
Point, regular 303
Poisson kernel 225 226 228 248
Poisson sum formula 28 29 30
Poisson’s equation 214 294 295 299 300 301 302 307 311 312 313 314
Poisson’s formula 112 225 226 228 229 230 231 232 246 249 267 287 356
Pole, of fundamental singularity 255 258
Polynomial, length of 72
Polynomial, multiplication of 64 65
Polynomial, orthogonal 137 139 140 142 143 151
Polynomial, orthogonal, in region 543
Polynomial, orthogonal, on curve 555
Polynomial, self-reciprocal 130 418
Polynomial, trigonometric 43 401
Polynomial, trigonometric interpolating 44 45 47
Polynomial, trigonometric interpolating, conjugate of 49 50
Polynomial, trigonometric interpolating, error of 45
Polynomial, zeros of 36 67
Pompeiu’s formula 289 290 291 301
Potential of double layer 276 277 280 285
Potential of single layer 273 279 281 377 382 384
Potential, logarithmic 273 274 295 297 299 301
Power series, formal 71
Power spectrum 59 60
Power spectrum, smoothed 61
Power sum 37
Precision constant 11
Prevertex 423 478 481 482
Principal value integral 89 90 91 102 141 148 200 394
Principal value integral, inversion of 116
Principal value integral, series expansion of 139
Privalov problem 119 127 128 134 151 417
Privalov problem for arc 163 164 167 168 171 178 184
Privalov problem for closed curve 120 123 125 126
Privalov problem, homogeneous 119 120 131
Privalov problem, solution of 119 163
Product theorem 212
Product, infinite 260
Quadrilateral 428 429 432 434 441 443
Quadrilateral, conformally equivalent 429 431
Quadrilateral, L-shaped 438 441
Quadrilateral, reciprocal 432
Quadrilateral, symmetric 433 439
Quotient-difference algorithm 138 322
Radius, inner 388 389
Radius, outer 389
rectangle 312 313 376 431 487
Region, circular 488 496
Region, non-degenerate doubly connected 445
| Region, totally resectable 501
Regularization 393
Relaxation factor 406
Representation of analytic function 132
Representation of set 131
Reproducing property 271 548 553
Residue 106 291 546
Residue of formal Laurent series 508
Reversion of formal Laurent series 510 513
Reversion of formal power series 72
Reversion operator 3 62
Richardson extrapolation 38
Riemann family 334 460
Riemann mapping function 371 373 547 551 554 558
Riemann mapping theorem 324 328 329 338 451
Riemann problem 108 126 128 129 130 131 132 133 134 135 136 413 417 418 419 422
Riemann’s theorem 236
Robertson’s conjecture 581
Romberg algorithm 20 21 545
Rotation, total, of boundary curve 525
Rouche’s Theorem 588 589 597
Rounding error of convolution 63
Rounding error of fast Fourier transform 13 66
Saalschutz formula 607
Sampling point 17
Sampling theorem 30
Sampling value 17
Schmiegungsverfahren see “Osculation algorithm”
Schur — Jabotinsky theorem 512
Schwaiz — Christoffel formula 423 478 480 521
Schwarz formula 102 103 112 225 528 595
Schwarz formula for upper half-plane 196 197
Schwarz lemma 253 254 325 331 335 336 337 368 593
Schwarz reflection principle 232 363 596
Schwarz — Christoffel map 323 376 422 424 427 444 483 579 580
Separation ratio 67 68 71
Shift operator 3 4 62
Side, of curve 92
signal 27 205 206 207
Signal, analytic 209 210
Signal, band-limited 29 30
Signal, Gaussian 30
Signal, modulated 208
Signal, time-limited 29 30
Signum function 41
Single-slit map 587 590 591 593
Singularity, essential, of harmonic function 237
Singularity, isolated, of harmonic function 235 243
Singularity, logarithmic 163 166 168
Singularity, removable, of harmonic function 236
Singularity, weak 162 166 171 172 176 177 189
Skew derivative problem 136
Slit map 333
Smoothing 55 62
Smoothing sequence 55
Sokhotskyi, formula of 94 95 99 100 102 105 107 109 113 115 117 118 120 124 132 138 140 153 161 164 170 171 179 181 194 196 278 279 280 281 387 394 395 396 397 465 466 467 562 563
Solution, canonical for arc 165 167 168 169 170 171
Solution, canonical, in sense of divergence theorem 295 297
Solution, canonical, of Privalov problem 130 131
Solution, canonical, recessive, of difference equation 141
Space, linear 491 530
Space, normed 3 531
Spectrum 27 199 200 201 205 207
Spectrum, approximate 28
Stability, mathematical 9
Stability, numerical 9 10
Standard parametrization 593
Steklov eigenvalue 494 496
Stencil 304 305 309 313
Stieltjes transform 137
Stieltjes — Perron inversion formula 137 138
Stirling’s formula 38
Symmetry property of Green’s function 258
Symmetry property of Neumann’s function 271
Symmetry, with respect to curve 499
System, orthonormal 534 535 539 540 545
System, orthonormal, complete 537 540 542 552
Szego kernel function 553 555 564 569
Taylor expansion 115 124 322 541 571
Taylor’s formula, for formal power series 73
Theodorsen, method of 403 407 413 470
Time series 59
Time window 61
Timman’s method 409 413 477 478
Translation theorem 208
Transplantation, conformal 222 246 252 259 267 432 434 442
Triangularization 308 435
Trilateral 428 429 443
Twist 16
Underrelaxation 406
Unit sequence 3
Vandermonde’s formula 604
Variational method 303 305
Variations, calculus of 491
Vekua’s representation theorem 136
Vitali’s theorem 589
Volterra equation 78
Warschawski — Lichtenstein theorem 359 380
Wegmann’s method 416 417 419 422 478 506
Wegmann’s method for exterior map 422
Winding number 447 452 462 463 483 520
Wirtinger derivative 287 294 298 300 551
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